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Simplifying
5x2 + 4 = 4x2 + 5
Reorder the terms:
4 + 5x2 = 4x2 + 5
Reorder the terms:
4 + 5x2 = 5 + 4x2
Solving
4 + 5x2 = 5 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
4 + 5x2 + -4x2 = 5 + 4x2 + -4x2
Combine like terms: 5x2 + -4x2 = 1x2
4 + 1x2 = 5 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
4 + 1x2 = 5 + 0
4 + 1x2 = 5
Add '-4' to each side of the equation.
4 + -4 + 1x2 = 5 + -4
Combine like terms: 4 + -4 = 0
0 + 1x2 = 5 + -4
1x2 = 5 + -4
Combine like terms: 5 + -4 = 1
1x2 = 1
Divide each side by '1'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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